Atkin-Lehner |
2- 5+ 11- 47- |
Signs for the Atkin-Lehner involutions |
Class |
56870s |
Isogeny class |
Conductor |
56870 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
18317940740000 = 25 · 54 · 117 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11- 6 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-10676458,13429975177] |
[a1,a2,a3,a4,a6] |
j |
75971228776233442569/10340000 |
j-invariant |
L |
3.9380068526878 |
L(r)(E,1)/r! |
Ω |
0.39380068531403 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5170a3 |
Quadratic twists by: -11 |